Answer:
2, 5, 14, 41, 122
Step-by-step explanation:
Using the recursive rule with a₁ = 2
a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5
a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14
a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41
a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122
The first 5 terms are 2, 5, 14, 41, 122
The base is 16 and height of each triangle is 2
Answer:
Y = 15sqrt(3)/4
Z = 15sqrt(3)/2
b = 45/4
Step-by-step explanation:
Sin(60) =Z/15
sqrt(3)/2 = Z/15
Z = 15sqrt(3)/2
Sin(30) = Y/Z
½ = Y/Z
Y = ½(15sqrt(3))/2 = 15sqrt(3)/4
Cos(30) = b/Z
sqrt(3)/2 = b/Z
b = 15sqrt(3)/2 × sqrt(3)/2
b = 45/4
sqrt is square root/radical
we have

we know that
The x-intercept is the value of x when the value of the function is equal to zero
so
in this problem
Find the roots of the function
equate the function to zero

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

Square root both sides






therefore
<u>the answer is</u>
the x-intercepts are the points
and 